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55614368 = 2519234197
BaseRepresentation
bin1101010000100…
…1101110100000
310212122111120102
43110021232200
5103214124433
65304001532
71243500005
oct324115640
9125574512
1055614368
1129435997
12167602a8
13b6a2a14
1475598ac
154d384e8
hex3509ba0

55614368 has 96 divisors (see below), whose sum is σ = 124467840. Its totient is φ = 24330240.

The previous prime is 55614359. The next prime is 55614379. The reversal of 55614368 is 86341655.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573296 + ... + 573392.

It is an arithmetic number, because the mean of its divisors is an integer number (1296540).

Almost surely, 255614368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55614368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62233920).

55614368 is an abundant number, since it is smaller than the sum of its proper divisors (68853472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55614368 is a wasteful number, since it uses less digits than its factorization.

55614368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 55614368 is about 7457.5041401262. The cubic root of 55614368 is about 381.7060135845.

The spelling of 55614368 in words is "fifty-five million, six hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 41 46 76 82 92 97 152 164 184 194 304 328 368 388 437 608 656 736 776 779 874 943 1312 1552 1558 1748 1843 1886 2231 3104 3116 3496 3686 3772 3977 4462 6232 6992 7372 7544 7954 8924 12464 13984 14744 15088 15908 17848 17917 24928 29488 30176 31816 35696 35834 42389 58976 63632 71392 71668 75563 84778 91471 127264 143336 151126 169556 182942 286672 302252 339112 365884 573344 604504 678224 731768 1209008 1356448 1463536 1737949 2418016 2927072 3475898 6951796 13903592 27807184 55614368